<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
<meta name="generator" content="Doxygen 1.8.20"/>
<meta name="viewport" content="width=device-width, initial-scale=1"/>
<title>Epigraph: include/expressions.hpp Source File</title>
<link href="tabs.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="jquery.js"></script>
<script type="text/javascript" src="dynsections.js"></script>
<link href="search/search.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="search/searchdata.js"></script>
<script type="text/javascript" src="search/search.js"></script>
<link href="doxygen.css" rel="stylesheet" type="text/css" />
</head>
<body>
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
<div id="titlearea">
<table cellspacing="0" cellpadding="0">
 <tbody>
 <tr style="height: 56px;">
  <td id="projectlogo"><img alt="Logo" src="logo_small.png"/></td>
  <td id="projectalign" style="padding-left: 0.5em;">
   <div id="projectname">Epigraph
   </div>
   <div id="projectbrief">Convex Optimization in C++</div>
  </td>
 </tr>
 </tbody>
</table>
</div>
<!-- end header part -->
<!-- Generated by Doxygen 1.8.20 -->
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&amp;dn=gpl-2.0.txt GPL-v2 */
var searchBox = new SearchBox("searchBox", "search",false,'Search');
/* @license-end */
</script>
<script type="text/javascript" src="menudata.js"></script>
<script type="text/javascript" src="menu.js"></script>
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:cf05388f2679ee054f2beb29a391d25f4e673ac3&amp;dn=gpl-2.0.txt GPL-v2 */
$(function() {
  initMenu('',true,false,'search.php','Search');
  $(document).ready(function() { init_search(); });
});
/* @license-end */</script>
<div id="main-nav"></div>
<!-- window showing the filter options -->
<div id="MSearchSelectWindow"
     onmouseover="return searchBox.OnSearchSelectShow()"
     onmouseout="return searchBox.OnSearchSelectHide()"
     onkeydown="return searchBox.OnSearchSelectKey(event)">
</div>

<!-- iframe showing the search results (closed by default) -->
<div id="MSearchResultsWindow">
<iframe src="javascript:void(0)" frameborder="0" 
        name="MSearchResults" id="MSearchResults">
</iframe>
</div>

<div id="nav-path" class="navpath">
  <ul>
<li class="navelem"><a class="el" href="dir_d44c64559bbebec7f509842c48db8b23.html">include</a></li>  </ul>
</div>
</div><!-- top -->
<div class="header">
  <div class="headertitle">
<div class="title">expressions.hpp</div>  </div>
</div><!--header-->
<div class="contents">
<a href="expressions_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160; </div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#pragma once</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160; </div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &quot;parameter.hpp&quot;</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &quot;variable.hpp&quot;</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160; </div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;Eigen/Sparse&gt;</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160; </div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="keyword">namespace </span>Eigen</div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;{</div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160; </div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    <span class="keyword">template</span> &lt;&gt;</div>
<div class="line"><a name="l00017"></a><span class="lineno"><a class="line" href="structEigen_1_1NumTraits_3_01cvx_1_1Scalar_01_4.html">   17</a></span>&#160;    <span class="keyword">struct </span>NumTraits&lt;cvx::Scalar&gt;</div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;        : NumTraits&lt;double&gt;</div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    {</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;        <span class="keyword">using</span> <a class="code" href="classcvx_1_1Scalar.html">Real</a> = <a class="code" href="classcvx_1_1Scalar.html">cvx::Scalar</a>;</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;        <span class="keyword">using</span> <a class="code" href="classcvx_1_1Scalar.html">NonInteger</a> = <a class="code" href="classcvx_1_1Scalar.html">cvx::Scalar</a>;</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        <span class="keyword">using</span> <a class="code" href="classcvx_1_1Scalar.html">Nested</a> = <a class="code" href="classcvx_1_1Scalar.html">cvx::Scalar</a>;</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160; </div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;        <span class="keyword">enum</span></div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;        {</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;            IsComplex = 0,</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;            IsInteger = 0,</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;            IsSigned = 1,</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;            RequireInitialization = 1,</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;            ReadCost = 10,</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;            AddCost = 200,</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;            MulCost = 200,</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        };</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    };</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160; </div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;} <span class="comment">// namespace Eigen</span></div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160; </div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="keyword">namespace </span>cvx</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;{</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    <span class="keyword">class </span>Constraint;</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    <span class="keyword">class </span>OptimizationProblem;</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="keyword">class </span>Scalar;</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160; </div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    <span class="keyword">namespace </span>internal</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    {</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        <span class="keyword">class </span>Affine;</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        <span class="keyword">class </span>SOCPWrapperBase;</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        <span class="keyword">class </span>QPWrapperBase;</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160; </div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        <span class="keyword">class </span>Term</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        {</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        <span class="keyword">public</span>:</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;            Term();</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160; </div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;            Parameter parameter;</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;            Variable variable;</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160; </div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;            <span class="keywordtype">bool</span> operator==(<span class="keyword">const</span> Term &amp;other) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;            Term &amp;operator*=(<span class="keyword">const</span> Parameter &amp;param);</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;            Term &amp;operator/=(<span class="keyword">const</span> Parameter &amp;param);</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160; </div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;            <span class="keyword">operator</span> Affine() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160; </div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;            <span class="keyword">friend</span> std::ostream &amp;operator&lt;&lt;(std::ostream &amp;os, <span class="keyword">const</span> Term &amp;term);</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;            <span class="keywordtype">double</span> evaluate() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        };</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160; </div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keyword">class </span>Affine</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        {</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keyword">public</span>:</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;            <span class="keywordtype">bool</span> operator==(<span class="keyword">const</span> Affine &amp;other) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160; </div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;            Parameter constant = Parameter(0.);</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;            std::vector&lt;Term&gt; terms;</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160; </div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;            <span class="keyword">friend</span> std::ostream &amp;operator&lt;&lt;(std::ostream &amp;os, <span class="keyword">const</span> Affine &amp;affine);</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;            <span class="keywordtype">double</span> evaluate() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;            Affine &amp;operator+=(<span class="keyword">const</span> Affine &amp;other);</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;            Affine &amp;operator-=(<span class="keyword">const</span> Affine &amp;other);</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;            Affine &amp;operator*=(<span class="keyword">const</span> Parameter &amp;param);</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;            Affine &amp;operator/=(<span class="keyword">const</span> Parameter &amp;param);</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;            <span class="comment">// Affine operator+(const Affine &amp;other) const;</span></div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;            Affine operator-(<span class="keyword">const</span> Affine &amp;other) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;            Affine operator-() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160; </div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;            <span class="keywordtype">void</span> cleanUp();</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160; </div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;            <span class="keywordtype">bool</span> isZero() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;            <span class="keywordtype">bool</span> isConstant() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;            <span class="keywordtype">bool</span> isFirstOrder() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        };</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160; </div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keyword">class </span>Product</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        {</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keyword">public</span>:</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;            <span class="keyword">explicit</span> Product(<span class="keyword">const</span> Affine &amp;term);</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;            Product(<span class="keyword">const</span> Affine &amp;lhs, <span class="keyword">const</span> Affine &amp;rhs);</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;            Affine &amp;firstTerm();</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;            Affine &amp;secondTerm();</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;            <span class="keyword">const</span> Affine &amp;firstTerm() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;            <span class="keyword">const</span> Affine &amp;secondTerm() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;            <span class="keywordtype">void</span> toSquaredTerm();</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;            <span class="keywordtype">double</span> evaluate() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;            <span class="keywordtype">bool</span> isSquare() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160; </div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;            <span class="keywordtype">bool</span> operator==(<span class="keyword">const</span> Product &amp;other) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160; </div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;            <span class="keyword">friend</span> std::ostream &amp;operator&lt;&lt;(std::ostream &amp;os, <span class="keyword">const</span> Product &amp;product);</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160; </div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="keyword">private</span>:</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;            std::vector&lt;Affine&gt; factors;</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        };</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160; </div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;    } <span class="comment">// namespace internal</span></div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160; </div>
<div class="line"><a name="l00116"></a><span class="lineno"><a class="line" href="classcvx_1_1Scalar.html">  116</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classcvx_1_1Scalar.html">Scalar</a></div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;    {</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;    <span class="keyword">public</span>:</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <a class="code" href="classcvx_1_1Scalar.html">Scalar</a>() = <span class="keywordflow">default</span>;</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keyword">explicit</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a>(<span class="keywordtype">int</span> x);</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        <a class="code" href="classcvx_1_1Scalar.html">Scalar</a>(<span class="keywordtype">double</span> x);</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keyword">explicit</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a>(<span class="keywordtype">double</span> *x);</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160; </div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;operator+=(<span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;other);</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;operator-=(<span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;other);</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;operator*=(<span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;other);</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;operator/=(<span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;other);</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> operator-() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="keyword">friend</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> operator+(<span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;lhs, <span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;rhs);</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        <span class="keyword">friend</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> operator-(<span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;lhs, <span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;rhs);</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        <span class="keyword">friend</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> operator*(<span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;lhs, <span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;rhs);</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        <span class="keyword">friend</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> operator/(<span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;lhs, <span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;rhs);</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160; </div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;        <span class="keywordtype">bool</span> operator==(<span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">cvx::Scalar</a> &amp;other) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160; </div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;        <span class="keywordtype">double</span> evaluate() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;        <span class="keywordtype">size_t</span> getOrder() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;        <span class="keywordtype">bool</span> isNorm() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160; </div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        <span class="keyword">friend</span> <a class="code" href="classcvx_1_1OptimizationProblem.html">OptimizationProblem</a>;</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;        <span class="keyword">friend</span> internal::SOCPWrapperBase;</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;        <span class="keyword">friend</span> internal::QPWrapperBase;</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160; </div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;        <span class="keyword">explicit</span> <span class="keyword">operator</span> double() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160; </div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;        <span class="keyword">friend</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> sqrt(<span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;scalar);</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;        <span class="keyword">friend</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> square(<span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;scalar);</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;        <span class="keyword">friend</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> abs2(<span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;scalar);</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160; </div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;        <span class="comment">// friend internal::Parameter::operator Scalar() const;</span></div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;        <span class="keyword">friend</span> internal::Variable::operator <a class="code" href="classcvx_1_1Scalar.html">Scalar</a>() <span class="keyword">const</span>;</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160; </div>
<div class="line"><a name="l00153"></a><span class="lineno"><a class="line" href="classcvx_1_1Scalar.html#a77509f09c0d64707e72245f3da70e9b3">  153</a></span>&#160;        <span class="keyword">friend</span> <a class="code" href="classcvx_1_1Constraint.html">Constraint</a> <a class="code" href="classcvx_1_1Scalar.html#a77509f09c0d64707e72245f3da70e9b3">equalTo</a>(<span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;lhs, <span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;rhs);</div>
<div class="line"><a name="l00154"></a><span class="lineno"><a class="line" href="classcvx_1_1Scalar.html#a06d28308d4d0900fdfef9beca470144b">  154</a></span>&#160;        <span class="keyword">friend</span> <a class="code" href="classcvx_1_1Constraint.html">Constraint</a> <a class="code" href="classcvx_1_1Scalar.html#a06d28308d4d0900fdfef9beca470144b">lessThan</a>(<span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;lhs, <span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;rhs);</div>
<div class="line"><a name="l00155"></a><span class="lineno"><a class="line" href="classcvx_1_1Scalar.html#a322ba7ac4bb63546e853dd72d5f1295d">  155</a></span>&#160;        <span class="keyword">friend</span> <a class="code" href="classcvx_1_1Constraint.html">Constraint</a> <a class="code" href="classcvx_1_1Scalar.html#a322ba7ac4bb63546e853dd72d5f1295d">greaterThan</a>(<span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;lhs, <span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;rhs);</div>
<div class="line"><a name="l00156"></a><span class="lineno"><a class="line" href="classcvx_1_1Scalar.html#acf962f0faa89df17b47b718c5ddbaf65">  156</a></span>&#160;        <span class="keyword">friend</span> <a class="code" href="classcvx_1_1Constraint.html">Constraint</a> <a class="code" href="classcvx_1_1Scalar.html#acf962f0faa89df17b47b718c5ddbaf65">box</a>(<span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;lower, <span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;middle, <span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;upper);</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160; </div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;    <span class="keyword">private</span>:</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;        internal::Affine affine;</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;        std::vector&lt;internal::Product&gt; products;</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;        <span class="keywordtype">bool</span> norm = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160; </div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;        <span class="keyword">friend</span> std::ostream &amp;operator&lt;&lt;(std::ostream &amp;os, <span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;scalar);</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;    };</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160; </div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;    <span class="keyword">using</span> MatrixX = Eigen::Matrix&lt;cvx::Scalar, Eigen::Dynamic, Eigen::Dynamic&gt;;</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;    <span class="keyword">using</span> VectorX = Eigen::Matrix&lt;cvx::Scalar, Eigen::Dynamic, 1&gt;;</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160; </div>
<div class="line"><a name="l00175"></a><span class="lineno"><a class="line" href="expressions_8hpp.html#a684fad62c2a1797e47da4d39361892db">  175</a></span>&#160;    <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> <a class="code" href="expressions_8hpp.html#a684fad62c2a1797e47da4d39361892db">par</a>(<span class="keywordtype">double</span> p);</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160; </div>
<div class="line"><a name="l00187"></a><span class="lineno"><a class="line" href="expressions_8hpp.html#a1d984e3625f4b93568f4d23ae1545706">  187</a></span>&#160;    <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> <a class="code" href="expressions_8hpp.html#a1d984e3625f4b93568f4d23ae1545706">dynpar</a>(<span class="keywordtype">double</span> &amp;p);</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160; </div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Derived&gt;</div>
<div class="line"><a name="l00197"></a><span class="lineno"><a class="line" href="expressions_8hpp.html#a3ecf37c5d19e82c84033075b6bd1284a">  197</a></span>&#160;    <span class="keyword">inline</span> <span class="keyword">auto</span> <a class="code" href="expressions_8hpp.html#a684fad62c2a1797e47da4d39361892db">par</a>(<span class="keyword">const</span> Eigen::MatrixBase&lt;Derived&gt; &amp;m)</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;    {</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;        <span class="keywordflow">return</span> m.template cast&lt;Scalar&gt;().eval();</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;    }</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160; </div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Derived&gt;</div>
<div class="line"><a name="l00210"></a><span class="lineno"><a class="line" href="expressions_8hpp.html#a7c1cb475a8289fb304589123726fc0fc">  210</a></span>&#160;    <span class="keyword">inline</span> <span class="keyword">auto</span> <a class="code" href="expressions_8hpp.html#a684fad62c2a1797e47da4d39361892db">par</a>(<span class="keyword">const</span> Eigen::SparseMatrixBase&lt;Derived&gt; &amp;m)</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;    {</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;        <span class="keywordflow">return</span> m.template cast&lt;Scalar&gt;().eval();</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;    }</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160; </div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Derived&gt;</div>
<div class="line"><a name="l00227"></a><span class="lineno"><a class="line" href="expressions_8hpp.html#ad1f5fff5f3dcb1998584d30c86a9984d">  227</a></span>&#160;    <span class="keyword">auto</span> <a class="code" href="expressions_8hpp.html#a1d984e3625f4b93568f4d23ae1545706">dynpar</a>(Eigen::MatrixBase&lt;Derived&gt; &amp;m)</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;    {</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;        <span class="keyword">auto</span> result = m.template cast&lt;Scalar&gt;().eval();</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160; </div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> row = 0; row &lt; m.rows(); row++)</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;        {</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> col = 0; col &lt; m.cols(); col++)</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;            {</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;                result.coeffRef(row, col) = <a class="code" href="expressions_8hpp.html#a1d984e3625f4b93568f4d23ae1545706">dynpar</a>(m.coeffRef(row, col));</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;            }</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;        }</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160; </div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;        <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;    }</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160; </div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a name="l00254"></a><span class="lineno"><a class="line" href="expressions_8hpp.html#ac392e28960cb2ef1d1c6ca0af1f82601">  254</a></span>&#160;    <span class="keyword">auto</span> <a class="code" href="expressions_8hpp.html#a1d984e3625f4b93568f4d23ae1545706">dynpar</a>(Eigen::SparseMatrix&lt;T&gt; &amp;m)</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;    {</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;        <span class="keyword">auto</span> result = m.template cast&lt;Scalar&gt;().eval();</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160; </div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; result.nonZeros(); k++)</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;        {</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;            result.valuePtr()[k] = <a class="code" href="expressions_8hpp.html#a1d984e3625f4b93568f4d23ae1545706">dynpar</a>(m.valuePtr()[k]);</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;        }</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160; </div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;        <span class="keywordflow">return</span> result;</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;    }</div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160; </div>
<div class="line"><a name="l00272"></a><span class="lineno"><a class="line" href="expressions_8hpp.html#a11d5ec90b597ad187a911b85516205e6">  272</a></span>&#160;    <span class="keywordtype">double</span> <a class="code" href="expressions_8hpp.html#a11d5ec90b597ad187a911b85516205e6">eval</a>(<span class="keyword">const</span> <a class="code" href="classcvx_1_1Scalar.html">Scalar</a> &amp;s);</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160; </div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Derived&gt;</div>
<div class="line"><a name="l00282"></a><span class="lineno"><a class="line" href="expressions_8hpp.html#a2899bc4f698d5dd707dfd5e3f0930960">  282</a></span>&#160;    <span class="keyword">inline</span> <span class="keyword">auto</span> <a class="code" href="expressions_8hpp.html#a11d5ec90b597ad187a911b85516205e6">eval</a>(<span class="keyword">const</span> Eigen::MatrixBase&lt;Derived&gt; &amp;m)</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;    {</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;        <span class="keywordflow">return</span> m.template cast&lt;double&gt;();</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;    }</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160; </div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Derived&gt;</div>
<div class="line"><a name="l00295"></a><span class="lineno"><a class="line" href="expressions_8hpp.html#a3f5f881076a6e58c77127f0c989623c8">  295</a></span>&#160;    <span class="keyword">inline</span> <span class="keyword">auto</span> <a class="code" href="expressions_8hpp.html#a11d5ec90b597ad187a911b85516205e6">eval</a>(<span class="keyword">const</span> Eigen::SparseMatrixBase&lt;Derived&gt; &amp;m)</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;    {</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;        <span class="keywordflow">return</span> m.template cast&lt;double&gt;();</div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;    }</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160; </div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;    <span class="keyword">inline</span> <span class="keyword">const</span> Scalar &amp;conj(<span class="keyword">const</span> Scalar &amp;x) { <span class="keywordflow">return</span> x; }</div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;    <span class="keyword">inline</span> <span class="keyword">const</span> Scalar &amp;real(<span class="keyword">const</span> Scalar &amp;x) { <span class="keywordflow">return</span> x; }</div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;    <span class="keyword">inline</span> Scalar imag(<span class="keyword">const</span> Scalar &amp;) { <span class="keywordflow">return</span> Scalar(0.); }</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;    <span class="keyword">inline</span> Scalar square(<span class="keyword">const</span> Scalar &amp;x)</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;    {</div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;        Scalar new_scalar;</div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;        new_scalar.products = {internal::Product(x.affine)};</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;        <span class="keywordflow">return</span> new_scalar;</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;    }</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;    <span class="keyword">inline</span> Scalar abs2(<span class="keyword">const</span> Scalar &amp;x)</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;    {</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;        <span class="keywordflow">return</span> square(x);</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;    }</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160; </div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;} <span class="comment">// namespace cvx</span></div>
</div><!-- fragment --></div><!-- contents -->
<div class="ttc" id="aclasscvx_1_1Scalar_html_acf962f0faa89df17b47b718c5ddbaf65"><div class="ttname"><a href="classcvx_1_1Scalar.html#acf962f0faa89df17b47b718c5ddbaf65">cvx::Scalar::box</a></div><div class="ttdeci">friend Constraint box(const Scalar &amp;lower, const Scalar &amp;middle, const Scalar &amp;upper)</div><div class="ttdoc">Create a box constraint: lower &lt;= middle &lt;= upper.</div></div>
<div class="ttc" id="aexpressions_8hpp_html_a684fad62c2a1797e47da4d39361892db"><div class="ttname"><a href="expressions_8hpp.html#a684fad62c2a1797e47da4d39361892db">cvx::par</a></div><div class="ttdeci">Scalar par(double p)</div><div class="ttdoc">Creates a constant parameter.</div></div>
<div class="ttc" id="aexpressions_8hpp_html_a1d984e3625f4b93568f4d23ae1545706"><div class="ttname"><a href="expressions_8hpp.html#a1d984e3625f4b93568f4d23ae1545706">cvx::dynpar</a></div><div class="ttdeci">Scalar dynpar(double &amp;p)</div><div class="ttdoc">Creates a dynamic parameter.</div></div>
<div class="ttc" id="aclasscvx_1_1Scalar_html_a06d28308d4d0900fdfef9beca470144b"><div class="ttname"><a href="classcvx_1_1Scalar.html#a06d28308d4d0900fdfef9beca470144b">cvx::Scalar::lessThan</a></div><div class="ttdeci">friend Constraint lessThan(const Scalar &amp;lhs, const Scalar &amp;rhs)</div><div class="ttdoc">Create a less than or equal constraint: lhs &lt;= rhs.</div></div>
<div class="ttc" id="aclasscvx_1_1Scalar_html_a77509f09c0d64707e72245f3da70e9b3"><div class="ttname"><a href="classcvx_1_1Scalar.html#a77509f09c0d64707e72245f3da70e9b3">cvx::Scalar::equalTo</a></div><div class="ttdeci">friend Constraint equalTo(const Scalar &amp;lhs, const Scalar &amp;rhs)</div><div class="ttdoc">Create an equality constraint: lhs == rhs.</div></div>
<div class="ttc" id="aclasscvx_1_1Constraint_html"><div class="ttname"><a href="classcvx_1_1Constraint.html">cvx::Constraint</a></div><div class="ttdef"><b>Definition:</b> constraint.hpp:47</div></div>
<div class="ttc" id="aclasscvx_1_1OptimizationProblem_html"><div class="ttname"><a href="classcvx_1_1OptimizationProblem.html">cvx::OptimizationProblem</a></div><div class="ttdef"><b>Definition:</b> problem.hpp:14</div></div>
<div class="ttc" id="aexpressions_8hpp_html_a11d5ec90b597ad187a911b85516205e6"><div class="ttname"><a href="expressions_8hpp.html#a11d5ec90b597ad187a911b85516205e6">cvx::eval</a></div><div class="ttdeci">double eval(const Scalar &amp;s)</div><div class="ttdoc">Evaluates the scalar.</div></div>
<div class="ttc" id="aclasscvx_1_1Scalar_html_a322ba7ac4bb63546e853dd72d5f1295d"><div class="ttname"><a href="classcvx_1_1Scalar.html#a322ba7ac4bb63546e853dd72d5f1295d">cvx::Scalar::greaterThan</a></div><div class="ttdeci">friend Constraint greaterThan(const Scalar &amp;lhs, const Scalar &amp;rhs)</div><div class="ttdoc">Create a greater than or equal constraint: lhs &gt;= rhs.</div></div>
<div class="ttc" id="aclasscvx_1_1Scalar_html"><div class="ttname"><a href="classcvx_1_1Scalar.html">cvx::Scalar</a></div><div class="ttdef"><b>Definition:</b> expressions.hpp:117</div></div>
<!-- start footer part -->
<hr class="footer"/><address class="footer"><small>
Generated by&#160;<a href="http://www.doxygen.org/index.html"><img class="footer" src="doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.8.20
</small></address>
</body>
</html>
